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Finding the Fourth Proportional to 10,476.68, 15,703.74 and 4,925.32

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Solution

The fourth proportional to 10,476.68, 15,703.74 and 4,925.32 is: 7,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.68 : 15,703.74 = 4,925.32 : x
  2. Step 2: Convert to fraction form
    10,476.68/15,703.74 = 4,925.32/x
  3. Step 3: Cross multiply
    10,476.68x = 15,703.74 × 4,925.32
  4. Step 4: Simplify right side
    10,476.68x = 77,345,944.70
  5. Step 5: Solve for x
    x = 77,345,944.70/10,476.68
  6. Step 6: Final answer
    x = 7,382.68

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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.