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Finding the Fourth Proportional to 11,280.51, 15,567.64 and 6,501.17

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Solution

The fourth proportional to 11,280.51, 15,567.64 and 6,501.17 is: 8,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.51 : 15,567.64 = 6,501.17 : x
  2. Step 2: Convert to fraction form
    11,280.51/15,567.64 = 6,501.17/x
  3. Step 3: Cross multiply
    11,280.51x = 15,567.64 × 6,501.17
  4. Step 4: Simplify right side
    11,280.51x = 101,207,874.14
  5. Step 5: Solve for x
    x = 101,207,874.14/11,280.51
  6. Step 6: Final answer
    x = 8,971.92

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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.