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Finding the Fourth Proportional to 10,641.25, 14,678.27 and 7,652.35

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Solution

The fourth proportional to 10,641.25, 14,678.27 and 7,652.35 is: 10,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.25 : 14,678.27 = 7,652.35 : x
  2. Step 2: Convert to fraction form
    10,641.25/14,678.27 = 7,652.35/x
  3. Step 3: Cross multiply
    10,641.25x = 14,678.27 × 7,652.35
  4. Step 4: Simplify right side
    10,641.25x = 112,323,221.17
  5. Step 5: Solve for x
    x = 112,323,221.17/10,641.25
  6. Step 6: Final answer
    x = 10,555.45

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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.