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Finding the Fourth Proportional to 11,390.32, 15,718.76 and 6,355

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Solution

The fourth proportional to 11,390.32, 15,718.76 and 6,355 is: 8,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.32 : 15,718.76 = 6,355 : x
  2. Step 2: Convert to fraction form
    11,390.32/15,718.76 = 6,355/x
  3. Step 3: Cross multiply
    11,390.32x = 15,718.76 × 6,355
  4. Step 4: Simplify right side
    11,390.32x = 99,892,719.80
  5. Step 5: Solve for x
    x = 99,892,719.80/11,390.32
  6. Step 6: Final answer
    x = 8,769.97

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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.