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Finding the Fourth Proportional to 11,749.90, 16,210.40 and 7,501.12

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Solution

The fourth proportional to 11,749.90, 16,210.40 and 7,501.12 is: 10,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.90 : 16,210.40 = 7,501.12 : x
  2. Step 2: Convert to fraction form
    11,749.90/16,210.40 = 7,501.12/x
  3. Step 3: Cross multiply
    11,749.90x = 16,210.40 × 7,501.12
  4. Step 4: Simplify right side
    11,749.90x = 121,596,155.65
  5. Step 5: Solve for x
    x = 121,596,155.65/11,749.90
  6. Step 6: Final answer
    x = 10,348.70

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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.