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Finding the Fourth Proportional to 10,289.03, 15,389.59 and 8,590.10

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Solution

The fourth proportional to 10,289.03, 15,389.59 and 8,590.10 is: 12,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.03 : 15,389.59 = 8,590.10 : x
  2. Step 2: Convert to fraction form
    10,289.03/15,389.59 = 8,590.10/x
  3. Step 3: Cross multiply
    10,289.03x = 15,389.59 × 8,590.10
  4. Step 4: Simplify right side
    10,289.03x = 132,198,117.06
  5. Step 5: Solve for x
    x = 132,198,117.06/10,289.03
  6. Step 6: Final answer
    x = 12,848.45

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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.