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Finding the Fourth Proportional to 10,492.65, 15,738.98 and 10,037.10

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Solution

The fourth proportional to 10,492.65, 15,738.98 and 10,037.10 is: 15,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.65 : 15,738.98 = 10,037.10 : x
  2. Step 2: Convert to fraction form
    10,492.65/15,738.98 = 10,037.10/x
  3. Step 3: Cross multiply
    10,492.65x = 15,738.98 × 10,037.10
  4. Step 4: Simplify right side
    10,492.65x = 157,973,587.28
  5. Step 5: Solve for x
    x = 157,973,587.28/10,492.65
  6. Step 6: Final answer
    x = 15,055.65

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