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Finding the Fourth Proportional to 11,053.60, 15,255.74 and 6,807.24

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Solution

The fourth proportional to 11,053.60, 15,255.74 and 6,807.24 is: 9,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.60 : 15,255.74 = 6,807.24 : x
  2. Step 2: Convert to fraction form
    11,053.60/15,255.74 = 6,807.24/x
  3. Step 3: Cross multiply
    11,053.60x = 15,255.74 × 6,807.24
  4. Step 4: Simplify right side
    11,053.60x = 103,849,483.56
  5. Step 5: Solve for x
    x = 103,849,483.56/11,053.60
  6. Step 6: Final answer
    x = 9,395.08

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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.