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Finding the Fourth Proportional to 10,502.42, 15,756.80 and 4,261.28

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Solution

The fourth proportional to 10,502.42, 15,756.80 and 4,261.28 is: 6,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.42 : 15,756.80 = 4,261.28 : x
  2. Step 2: Convert to fraction form
    10,502.42/15,756.80 = 4,261.28/x
  3. Step 3: Cross multiply
    10,502.42x = 15,756.80 × 4,261.28
  4. Step 4: Simplify right side
    10,502.42x = 67,144,036.61
  5. Step 5: Solve for x
    x = 67,144,036.61/10,502.42
  6. Step 6: Final answer
    x = 6,393.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.