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Finding the Fourth Proportional to 11,085.92, 15,298.64 and 6,117.92

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Solution

The fourth proportional to 11,085.92, 15,298.64 and 6,117.92 is: 8,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.92 : 15,298.64 = 6,117.92 : x
  2. Step 2: Convert to fraction form
    11,085.92/15,298.64 = 6,117.92/x
  3. Step 3: Cross multiply
    11,085.92x = 15,298.64 × 6,117.92
  4. Step 4: Simplify right side
    11,085.92x = 93,595,855.63
  5. Step 5: Solve for x
    x = 93,595,855.63/11,085.92
  6. Step 6: Final answer
    x = 8,442.77

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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.