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Finding the Fourth Proportional to 7,580.32, 10,460.80 and 4,223.28

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Solution

The fourth proportional to 7,580.32, 10,460.80 and 4,223.28 is: 5,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.32 : 10,460.80 = 4,223.28 : x
  2. Step 2: Convert to fraction form
    7,580.32/10,460.80 = 4,223.28/x
  3. Step 3: Cross multiply
    7,580.32x = 10,460.80 × 4,223.28
  4. Step 4: Simplify right side
    7,580.32x = 44,178,887.42
  5. Step 5: Solve for x
    x = 44,178,887.42/7,580.32
  6. Step 6: Final answer
    x = 5,828.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.