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Finding the Fourth Proportional to 10,937.59, 15,075.69 and 7,746.79

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Solution

The fourth proportional to 10,937.59, 15,075.69 and 7,746.79 is: 10,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.59 : 15,075.69 = 7,746.79 : x
  2. Step 2: Convert to fraction form
    10,937.59/15,075.69 = 7,746.79/x
  3. Step 3: Cross multiply
    10,937.59x = 15,075.69 × 7,746.79
  4. Step 4: Simplify right side
    10,937.59x = 116,788,204.54
  5. Step 5: Solve for x
    x = 116,788,204.54/10,937.59
  6. Step 6: Final answer
    x = 10,677.69

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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.