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Finding the Fourth Proportional to 11,403.51, 15,732.45 and 7,152.84

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Solution

The fourth proportional to 11,403.51, 15,732.45 and 7,152.84 is: 9,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.51 : 15,732.45 = 7,152.84 : x
  2. Step 2: Convert to fraction form
    11,403.51/15,732.45 = 7,152.84/x
  3. Step 3: Cross multiply
    11,403.51x = 15,732.45 × 7,152.84
  4. Step 4: Simplify right side
    11,403.51x = 112,531,697.66
  5. Step 5: Solve for x
    x = 112,531,697.66/11,403.51
  6. Step 6: Final answer
    x = 9,868.16

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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.