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Finding the Fourth Proportional to 10,038.42, 15,047.36 and 7,258.19

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Solution

The fourth proportional to 10,038.42, 15,047.36 and 7,258.19 is: 10,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.42 : 15,047.36 = 7,258.19 : x
  2. Step 2: Convert to fraction form
    10,038.42/15,047.36 = 7,258.19/x
  3. Step 3: Cross multiply
    10,038.42x = 15,047.36 × 7,258.19
  4. Step 4: Simplify right side
    10,038.42x = 109,216,599.21
  5. Step 5: Solve for x
    x = 109,216,599.21/10,038.42
  6. Step 6: Final answer
    x = 10,879.86

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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.