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Finding the Fourth Proportional to 10,356.72, 15,535.86 and 7,102.08

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Solution

The fourth proportional to 10,356.72, 15,535.86 and 7,102.08 is: 10,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.72 : 15,535.86 = 7,102.08 : x
  2. Step 2: Convert to fraction form
    10,356.72/15,535.86 = 7,102.08/x
  3. Step 3: Cross multiply
    10,356.72x = 15,535.86 × 7,102.08
  4. Step 4: Simplify right side
    10,356.72x = 110,336,920.59
  5. Step 5: Solve for x
    x = 110,336,920.59/10,356.72
  6. Step 6: Final answer
    x = 10,653.65

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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.