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Finding the Fourth Proportional to 10,510.67, 14,501.57 and 6,259.56

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Solution

The fourth proportional to 10,510.67, 14,501.57 and 6,259.56 is: 8,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.67 : 14,501.57 = 6,259.56 : x
  2. Step 2: Convert to fraction form
    10,510.67/14,501.57 = 6,259.56/x
  3. Step 3: Cross multiply
    10,510.67x = 14,501.57 × 6,259.56
  4. Step 4: Simplify right side
    10,510.67x = 90,773,416.21
  5. Step 5: Solve for x
    x = 90,773,416.21/10,510.67
  6. Step 6: Final answer
    x = 8,636.32

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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.