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Finding the Fourth Proportional to 7,652, 10,560 and 4,510.88

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Solution

The fourth proportional to 7,652, 10,560 and 4,510.88 is: 6,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652 : 10,560 = 4,510.88 : x
  2. Step 2: Convert to fraction form
    7,652/10,560 = 4,510.88/x
  3. Step 3: Cross multiply
    7,652x = 10,560 × 4,510.88
  4. Step 4: Simplify right side
    7,652x = 47,634,892.80
  5. Step 5: Solve for x
    x = 47,634,892.80/7,652
  6. Step 6: Final answer
    x = 6,225.16

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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.