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Finding the Fourth Proportional to 10,362.66, 15,547.80 and 6,470.34

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Solution

The fourth proportional to 10,362.66, 15,547.80 and 6,470.34 is: 9,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.66 : 15,547.80 = 6,470.34 : x
  2. Step 2: Convert to fraction form
    10,362.66/15,547.80 = 6,470.34/x
  3. Step 3: Cross multiply
    10,362.66x = 15,547.80 × 6,470.34
  4. Step 4: Simplify right side
    10,362.66x = 100,599,552.25
  5. Step 5: Solve for x
    x = 100,599,552.25/10,362.66
  6. Step 6: Final answer
    x = 9,707.89

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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.