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Finding the Fourth Proportional to 10,303.93, 14,220.02 and 5,828.11

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Solution

The fourth proportional to 10,303.93, 14,220.02 and 5,828.11 is: 8,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.93 : 14,220.02 = 5,828.11 : x
  2. Step 2: Convert to fraction form
    10,303.93/14,220.02 = 5,828.11/x
  3. Step 3: Cross multiply
    10,303.93x = 14,220.02 × 5,828.11
  4. Step 4: Simplify right side
    10,303.93x = 82,875,840.76
  5. Step 5: Solve for x
    x = 82,875,840.76/10,303.93
  6. Step 6: Final answer
    x = 8,043.13

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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.