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Finding the Fourth Proportional to 11,478.81, 15,838.29 and 7,505.76

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Solution

The fourth proportional to 11,478.81, 15,838.29 and 7,505.76 is: 10,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.81 : 15,838.29 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    11,478.81/15,838.29 = 7,505.76/x
  3. Step 3: Cross multiply
    11,478.81x = 15,838.29 × 7,505.76
  4. Step 4: Simplify right side
    11,478.81x = 118,878,403.55
  5. Step 5: Solve for x
    x = 118,878,403.55/11,478.81
  6. Step 6: Final answer
    x = 10,356.34

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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.