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Finding the Fourth Proportional to 10,554.89, 15,832.35 and 7,258.01

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Solution

The fourth proportional to 10,554.89, 15,832.35 and 7,258.01 is: 10,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.89 : 15,832.35 = 7,258.01 : x
  2. Step 2: Convert to fraction form
    10,554.89/15,832.35 = 7,258.01/x
  3. Step 3: Cross multiply
    10,554.89x = 15,832.35 × 7,258.01
  4. Step 4: Simplify right side
    10,554.89x = 114,911,275.46
  5. Step 5: Solve for x
    x = 114,911,275.46/10,554.89
  6. Step 6: Final answer
    x = 10,887.02

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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.