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Finding the Fourth Proportional to 12,688.86, 17,511.54 and 7,312.16

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Solution

The fourth proportional to 12,688.86, 17,511.54 and 7,312.16 is: 10,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.86 : 17,511.54 = 7,312.16 : x
  2. Step 2: Convert to fraction form
    12,688.86/17,511.54 = 7,312.16/x
  3. Step 3: Cross multiply
    12,688.86x = 17,511.54 × 7,312.16
  4. Step 4: Simplify right side
    12,688.86x = 128,047,182.33
  5. Step 5: Solve for x
    x = 128,047,182.33/12,688.86
  6. Step 6: Final answer
    x = 10,091.31

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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.