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Finding the Fourth Proportional to 10,386.98, 15,580.49 and 5,779.70

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Solution

The fourth proportional to 10,386.98, 15,580.49 and 5,779.70 is: 8,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.98 : 15,580.49 = 5,779.70 : x
  2. Step 2: Convert to fraction form
    10,386.98/15,580.49 = 5,779.70/x
  3. Step 3: Cross multiply
    10,386.98x = 15,580.49 × 5,779.70
  4. Step 4: Simplify right side
    10,386.98x = 90,050,451.25
  5. Step 5: Solve for x
    x = 90,050,451.25/10,386.98
  6. Step 6: Final answer
    x = 8,669.56

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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.