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Finding the Fourth Proportional to 10,549.64, 15,828.81 and 4,623.50

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Solution

The fourth proportional to 10,549.64, 15,828.81 and 4,623.50 is: 6,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.64 : 15,828.81 = 4,623.50 : x
  2. Step 2: Convert to fraction form
    10,549.64/15,828.81 = 4,623.50/x
  3. Step 3: Cross multiply
    10,549.64x = 15,828.81 × 4,623.50
  4. Step 4: Simplify right side
    10,549.64x = 73,184,423.89
  5. Step 5: Solve for x
    x = 73,184,423.89/10,549.64
  6. Step 6: Final answer
    x = 6,937.15

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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.