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Finding the Fourth Proportional to 10,565.90, 14,579.93 and 6,316.11

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Solution

The fourth proportional to 10,565.90, 14,579.93 and 6,316.11 is: 8,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.90 : 14,579.93 = 6,316.11 : x
  2. Step 2: Convert to fraction form
    10,565.90/14,579.93 = 6,316.11/x
  3. Step 3: Cross multiply
    10,565.90x = 14,579.93 × 6,316.11
  4. Step 4: Simplify right side
    10,565.90x = 92,088,441.67
  5. Step 5: Solve for x
    x = 92,088,441.67/10,565.90
  6. Step 6: Final answer
    x = 8,715.63

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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.