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Finding the Fourth Proportional to 7,708.55, 10,637.26 and 4,564.13

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Solution

The fourth proportional to 7,708.55, 10,637.26 and 4,564.13 is: 6,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.55 : 10,637.26 = 4,564.13 : x
  2. Step 2: Convert to fraction form
    7,708.55/10,637.26 = 4,564.13/x
  3. Step 3: Cross multiply
    7,708.55x = 10,637.26 × 4,564.13
  4. Step 4: Simplify right side
    7,708.55x = 48,549,772.89
  5. Step 5: Solve for x
    x = 48,549,772.89/7,708.55
  6. Step 6: Final answer
    x = 6,298.18

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