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Finding the Fourth Proportional to 13,088.08, 18,062.76 and 7,498

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Solution

The fourth proportional to 13,088.08, 18,062.76 and 7,498 is: 10,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.08 : 18,062.76 = 7,498 : x
  2. Step 2: Convert to fraction form
    13,088.08/18,062.76 = 7,498/x
  3. Step 3: Cross multiply
    13,088.08x = 18,062.76 × 7,498
  4. Step 4: Simplify right side
    13,088.08x = 135,434,574.48
  5. Step 5: Solve for x
    x = 135,434,574.48/13,088.08
  6. Step 6: Final answer
    x = 10,347.93

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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.