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Finding the Fourth Proportional to 7,580.96, 10,461.50 and 4,223.57

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Solution

The fourth proportional to 7,580.96, 10,461.50 and 4,223.57 is: 5,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.96 : 10,461.50 = 4,223.57 : x
  2. Step 2: Convert to fraction form
    7,580.96/10,461.50 = 4,223.57/x
  3. Step 3: Cross multiply
    7,580.96x = 10,461.50 × 4,223.57
  4. Step 4: Simplify right side
    7,580.96x = 44,184,875.04
  5. Step 5: Solve for x
    x = 44,184,875.04/7,580.96
  6. Step 6: Final answer
    x = 5,828.40

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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.