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Finding the Fourth Proportional to 10,607.72, 14,641.80 and 6,626.48

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Solution

The fourth proportional to 10,607.72, 14,641.80 and 6,626.48 is: 9,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.72 : 14,641.80 = 6,626.48 : x
  2. Step 2: Convert to fraction form
    10,607.72/14,641.80 = 6,626.48/x
  3. Step 3: Cross multiply
    10,607.72x = 14,641.80 × 6,626.48
  4. Step 4: Simplify right side
    10,607.72x = 97,023,594.86
  5. Step 5: Solve for x
    x = 97,023,594.86/10,607.72
  6. Step 6: Final answer
    x = 9,146.51

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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.