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Finding the Fourth Proportional to 11,160.14, 15,400.86 and 6,444.32

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Solution

The fourth proportional to 11,160.14, 15,400.86 and 6,444.32 is: 8,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.14 : 15,400.86 = 6,444.32 : x
  2. Step 2: Convert to fraction form
    11,160.14/15,400.86 = 6,444.32/x
  3. Step 3: Cross multiply
    11,160.14x = 15,400.86 × 6,444.32
  4. Step 4: Simplify right side
    11,160.14x = 99,248,070.12
  5. Step 5: Solve for x
    x = 99,248,070.12/11,160.14
  6. Step 6: Final answer
    x = 8,893.08

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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.