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Finding the Fourth Proportional to 10,036.16, 15,034.80 and 9,210

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Solution

The fourth proportional to 10,036.16, 15,034.80 and 9,210 is: 13,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.16 : 15,034.80 = 9,210 : x
  2. Step 2: Convert to fraction form
    10,036.16/15,034.80 = 9,210/x
  3. Step 3: Cross multiply
    10,036.16x = 15,034.80 × 9,210
  4. Step 4: Simplify right side
    10,036.16x = 138,470,508
  5. Step 5: Solve for x
    x = 138,470,508/10,036.16
  6. Step 6: Final answer
    x = 13,797.16

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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.