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Finding the Fourth Proportional to 10,303.95, 14,219.46 and 5,588.24

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Solution

The fourth proportional to 10,303.95, 14,219.46 and 5,588.24 is: 7,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.95 : 14,219.46 = 5,588.24 : x
  2. Step 2: Convert to fraction form
    10,303.95/14,219.46 = 5,588.24/x
  3. Step 3: Cross multiply
    10,303.95x = 14,219.46 × 5,588.24
  4. Step 4: Simplify right side
    10,303.95x = 79,461,684.05
  5. Step 5: Solve for x
    x = 79,461,684.05/10,303.95
  6. Step 6: Final answer
    x = 7,711.77

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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.