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Finding the Fourth Proportional to 13,085.71, 18,058.65 and 7,117.76

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Solution

The fourth proportional to 13,085.71, 18,058.65 and 7,117.76 is: 9,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.71 : 18,058.65 = 7,117.76 : x
  2. Step 2: Convert to fraction form
    13,085.71/18,058.65 = 7,117.76/x
  3. Step 3: Cross multiply
    13,085.71x = 18,058.65 × 7,117.76
  4. Step 4: Simplify right side
    13,085.71x = 128,537,053.50
  5. Step 5: Solve for x
    x = 128,537,053.50/13,085.71
  6. Step 6: Final answer
    x = 9,822.71

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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.