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Finding the Fourth Proportional to 10,390.08, 15,588 and 5,776.32

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Solution

The fourth proportional to 10,390.08, 15,588 and 5,776.32 is: 8,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.08 : 15,588 = 5,776.32 : x
  2. Step 2: Convert to fraction form
    10,390.08/15,588 = 5,776.32/x
  3. Step 3: Cross multiply
    10,390.08x = 15,588 × 5,776.32
  4. Step 4: Simplify right side
    10,390.08x = 90,041,276.16
  5. Step 5: Solve for x
    x = 90,041,276.16/10,390.08
  6. Step 6: Final answer
    x = 8,666.08

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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.