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Finding the Fourth Proportional to 10,290.20, 15,435.30 and 7,698.20

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Solution

The fourth proportional to 10,290.20, 15,435.30 and 7,698.20 is: 11,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.20 : 15,435.30 = 7,698.20 : x
  2. Step 2: Convert to fraction form
    10,290.20/15,435.30 = 7,698.20/x
  3. Step 3: Cross multiply
    10,290.20x = 15,435.30 × 7,698.20
  4. Step 4: Simplify right side
    10,290.20x = 118,824,026.46
  5. Step 5: Solve for x
    x = 118,824,026.46/10,290.20
  6. Step 6: Final answer
    x = 11,547.30

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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.