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Finding the Fourth Proportional to 10,347.36, 14,292.18 and 7,510.20

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Solution

The fourth proportional to 10,347.36, 14,292.18 and 7,510.20 is: 10,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.36 : 14,292.18 = 7,510.20 : x
  2. Step 2: Convert to fraction form
    10,347.36/14,292.18 = 7,510.20/x
  3. Step 3: Cross multiply
    10,347.36x = 14,292.18 × 7,510.20
  4. Step 4: Simplify right side
    10,347.36x = 107,337,130.24
  5. Step 5: Solve for x
    x = 107,337,130.24/10,347.36
  6. Step 6: Final answer
    x = 10,373.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.