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Finding the Fourth Proportional to 8,303.84, 11,457.28 and 4,718

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Solution

The fourth proportional to 8,303.84, 11,457.28 and 4,718 is: 6,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.84 : 11,457.28 = 4,718 : x
  2. Step 2: Convert to fraction form
    8,303.84/11,457.28 = 4,718/x
  3. Step 3: Cross multiply
    8,303.84x = 11,457.28 × 4,718
  4. Step 4: Simplify right side
    8,303.84x = 54,055,447.04
  5. Step 5: Solve for x
    x = 54,055,447.04/8,303.84
  6. Step 6: Final answer
    x = 6,509.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.