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Finding the Fourth Proportional to 10,430.19, 15,626.99 and 8,686.42

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Solution

The fourth proportional to 10,430.19, 15,626.99 and 8,686.42 is: 13,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.19 : 15,626.99 = 8,686.42 : x
  2. Step 2: Convert to fraction form
    10,430.19/15,626.99 = 8,686.42/x
  3. Step 3: Cross multiply
    10,430.19x = 15,626.99 × 8,686.42
  4. Step 4: Simplify right side
    10,430.19x = 135,742,598.48
  5. Step 5: Solve for x
    x = 135,742,598.48/10,430.19
  6. Step 6: Final answer
    x = 13,014.39

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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.