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Finding the Fourth Proportional to 10,646.16, 15,960.30 and 4,637.74

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Solution

The fourth proportional to 10,646.16, 15,960.30 and 4,637.74 is: 6,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.16 : 15,960.30 = 4,637.74 : x
  2. Step 2: Convert to fraction form
    10,646.16/15,960.30 = 4,637.74/x
  3. Step 3: Cross multiply
    10,646.16x = 15,960.30 × 4,637.74
  4. Step 4: Simplify right side
    10,646.16x = 74,019,721.72
  5. Step 5: Solve for x
    x = 74,019,721.72/10,646.16
  6. Step 6: Final answer
    x = 6,952.72

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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.