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Finding the Fourth Proportional to 7,756.49, 10,703.75 and 4,219.76

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Solution

The fourth proportional to 7,756.49, 10,703.75 and 4,219.76 is: 5,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.49 : 10,703.75 = 4,219.76 : x
  2. Step 2: Convert to fraction form
    7,756.49/10,703.75 = 4,219.76/x
  3. Step 3: Cross multiply
    7,756.49x = 10,703.75 × 4,219.76
  4. Step 4: Simplify right side
    7,756.49x = 45,167,261.76
  5. Step 5: Solve for x
    x = 45,167,261.76/7,756.49
  6. Step 6: Final answer
    x = 5,823.16

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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.