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Finding the Fourth Proportional to 26,053, 39,080.60 and 7,585

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Solution

The fourth proportional to 26,053, 39,080.60 and 7,585 is: 11,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,053 : 39,080.60 = 7,585 : x
  2. Step 2: Convert to fraction form
    26,053/39,080.60 = 7,585/x
  3. Step 3: Cross multiply
    26,053x = 39,080.60 × 7,585
  4. Step 4: Simplify right side
    26,053x = 296,426,351
  5. Step 5: Solve for x
    x = 296,426,351/26,053
  6. Step 6: Final answer
    x = 11,377.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.