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Finding the Fourth Proportional to 7,559.34, 10,430.76 and 4,202.16

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Solution

The fourth proportional to 7,559.34, 10,430.76 and 4,202.16 is: 5,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.34 : 10,430.76 = 4,202.16 : x
  2. Step 2: Convert to fraction form
    7,559.34/10,430.76 = 4,202.16/x
  3. Step 3: Cross multiply
    7,559.34x = 10,430.76 × 4,202.16
  4. Step 4: Simplify right side
    7,559.34x = 43,831,722.44
  5. Step 5: Solve for x
    x = 43,831,722.44/7,559.34
  6. Step 6: Final answer
    x = 5,798.35

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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.