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Finding the Fourth Proportional to 11,423.35, 15,766.01 and 6,948.51

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Solution

The fourth proportional to 11,423.35, 15,766.01 and 6,948.51 is: 9,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.35 : 15,766.01 = 6,948.51 : x
  2. Step 2: Convert to fraction form
    11,423.35/15,766.01 = 6,948.51/x
  3. Step 3: Cross multiply
    11,423.35x = 15,766.01 × 6,948.51
  4. Step 4: Simplify right side
    11,423.35x = 109,550,210.34
  5. Step 5: Solve for x
    x = 109,550,210.34/11,423.35
  6. Step 6: Final answer
    x = 9,590.02

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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.