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Finding the Fourth Proportional to 10,013.69, 15,088.14 and 8,296.90

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Solution

The fourth proportional to 10,013.69, 15,088.14 and 8,296.90 is: 12,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.69 : 15,088.14 = 8,296.90 : x
  2. Step 2: Convert to fraction form
    10,013.69/15,088.14 = 8,296.90/x
  3. Step 3: Cross multiply
    10,013.69x = 15,088.14 × 8,296.90
  4. Step 4: Simplify right side
    10,013.69x = 125,184,751.05
  5. Step 5: Solve for x
    x = 125,184,751.05/10,013.69
  6. Step 6: Final answer
    x = 12,501.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.